We report below the most relevant tensors, in their component notation, that have been used in the derivation of the relativistic-hydrodynamic equations.
C.1 Relativistic expressions
A detailed discussion of the properties of the tensors presented here can be found in Sections 3.1.1 and 3.7.4.
where η and ζ are the shear viscosity and the bulk viscosity, respectively.
To aid comparison with classical textbooks, e.g., Landau and Lifshitz (1980), we report below the Newtonian expressions of the most relevant hydrodynamic tensors. A detailed discussion of the properties of the tensors presented here can be found in Section 2.2.6.